I clearly distinguish between the Kurds as a group and the PKK. As a group, the Kurds are both smart and wise, long hence deserving of their own nation, despite what Syria, Turkey, Iran and Iraq think, and they have used their time as a semi autonomous region wisely. Likewise their close friendship with Israel is profoundly smart, and were they a separate nation, no longer burdened with the rest of Iraq, I see it as being in the US strong interest to be aligned with and supportive of them.
This being said, the PKK, formed as a communist rejection of the fascism of Turkey, is far more a problem than a solution. Were they to operate exclusively outside of Iraqi Kurdistan, they would be far less a problem to Kurdistan.
I would not find their efforts in Syria to protect the Syrian Kurds from the civil war by keeping out the combatants and maintaining neutrality to be laudable. Likewise, if they wanted to be pestiferous to the Iranians, by themselves or in concert with other oppressed minorities, this would also be tolerable.
Turkey is a far more subtle affair, which they could address by trying to Europeanize and even internationalize their situation there. Which would have to be done with the assistance of outsiders who could offer them protection.
Again, this is just the PKK acting as an independent group apart from the Kurdish government. However, they do not seem to be inclined to do these things.
I am familiar with the relationship between Syrian Kurds and PKK. (And with the PUK in Iraq.)
The relationship between the KRG and the Syrian Kurds is complicated. Tribal issues, plus other things.
I’m not a Leftist. Never have been, never will be. But I have deep respect for Syrian Kurds because of their kindness to others and bravery beyond belief. They are simply good people.
The Jews in Israel began as a communal organization. Now look at it.
Northern Syria is far from Damascus. That geographic fact has made the inhabitants interdependent. Different religions have coexisted for a long time.
Oppression by ISIS cemented them all together.
I was once asked to suggest a book title for a person there. I suggested (was not taken) “Beyond Damascus”.
Have friendships there that span over 3 years. Frequent communication.
Would accept them as neighbors without hesitation.